Final Study Guide Phys121 Summer2022 1. In an amusement park, a roller coaster looks like the diagram below where the car goes around the loop before continuing. A car of mass 500 kg starts from rest at the top of the straight section. Neglect friction. a) Calculate its speed at the bottom of the loop and the top of a the loop. um: '01."; V50? 7., H-Jll/s 10m 5m b) Draw a free body diagram for the car at the top of the loop. c) Calculate the normal force acting on the car at the top of the loop. I:u = 5,900 N 2. Three objects are connected as shown in the figure. The strings and frictionless pulleys have negligible masses. The coefficients of kinetic friction and static friction between block B and the table are JK = 0.25 and Us= 0.30. Block A has a mass of 3kg and block B has a mass of 4kg. B C a) What is the maximum mass block C can have before block B will start to move? Max mc = 4.2 kg b) If block C has a mass of 7kg and was 1m above the ground, how long would it take block C to hit the ground starting from rest? a = 2.14 t = 0. 97 s So3. A skier is at the top of a hill with height h1. Starting from rest, the skier goes down to a flat area. On this flat area, there is a section of the slope with length D where the snow has melted (there is friction here). After passing the melted section, the skier goes up a smaller hill of height h2. At the top of this hill there is a drop off and the skier launches off of it with a horizontal speed. At what horizontal distance from the base of thejump does the skier land? {7/ //,'} -' ___.___' \"H's?\" R1 R=1l 23 ("ring-m9) - 23 4. A block of wood with wheels has a mass M and is sitting at rest on the ground (ignore all friction). A bullet of mass m is fired into the block, becoming lodged inside of it. This inelastic collision causes the block of wood (with the bullet in it) to move. It moves on a track with a loop with radius R R. Calculate the minimum velocity v of the bullet needed so that block/bullet can make it through the loop without falling off. Hint: the first part of this problem is a conservation of momentum problem to determine the block/bullet velocity after the collision and therefore their speed(moving together as one object) at the bottom of the loop. initial M+m ) Speed V S 59R of bullet m bullet5. A car drives over the top of a hill that has a radius of 50m. What is the maximum speed that the car can have at the top without flying off the road (or loses contact with the road)? Vmax 9 R